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Phys. Rev. D 80, 104037 (2009) [6 pages]

Geodetic precession in squashed Kaluza-Klein black hole spacetimes

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Ken Matsuno* and Hideki Ishihara
Department of Mathematics and Physics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

Received 2 September 2009; published 30 November 2009

We investigate the geodetic precession effect of a parallelly transported spin vector along a circular geodesic in five-dimensional squashed Kaluza-Klein black hole spacetime. Then we derive the higher-dimensional correction of the precession angle to general relativity. We find that the correction is proportional to the square of (size of extra dimension)/(gravitational radius of central object).

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.80.104037
DOI:
10.1103/PhysRevD.80.104037
PACS:
04.50.-h, 04.70.Bw

*matsuno@sci.osaka-cu.ac.jp

ishihara@sci.osaka-cu.ac.jp